Rememebr you also have at least 10 electrical connections and a solenoid between your battery , key and a spinning starter motor.
Take the lid off the engine - do you hear a "click" from the solenoid? (follow the big chunky wire form the starter to the black box / blob with two big wires & a small wire - that box / blob is what should click)
If yes, get a multimeter & check for 12V all the way back to the battery. If you get 12V battery side of the solenoid & nothing starter side (with the key in the "start" position and it having "clicked"), either your solenoid is gubbed or you got a well bad connection. You may need someone to help turn the key unless you have either got long arms or long wires on your multimeter! Also remember if the solenoid is clicking, and it's no more than a loose connection, it could spin & start the engine at any moment, so disconnect the spark plugs before you start, & keep fingers clear of the business end!
If no click, repeat the process to the battery, and with the small wires back to the key. If there is no +12 at the small wire terminal on the solenoid, then your problem may be in the remotes box or at the multipole conector where the remote loom is plugged in. The multipole connector for the remotes you could separate, WD40 & stick back together as well.
As a note, you will probably need to find a convenient unpainted bit of engine block to use as ground / -ve to connect the balck wire of your meter to for the solenoid tests.
I'l lleave the Honda experts to tell you how to dismantle the starter!